Solve 4*10^2+9*10^0+7*10^-1+2*10^-2

$$4 \times 10 ^ { 2 } + 9 \times 10 ^ { 0 } + 7 \times 10 ^ { - 1 } + 2 \times 10 ^ { - 2 }$$

Evaluate

$$\frac{10243}{25}=409.72$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$4\times 100+9\times 10^{0}+7\times 10^{-1}+2\times 10^{-2}$$

Multiply 4 and 100 to get 400.

$$400+9\times 10^{0}+7\times 10^{-1}+2\times 10^{-2}$$

Calculate 10 to the power of 0 and get 1.

$$400+9\times 1+7\times 10^{-1}+2\times 10^{-2}$$

Multiply 9 and 1 to get 9.

$$400+9+7\times 10^{-1}+2\times 10^{-2}$$

Add 400 and 9 to get 409.

$$409+7\times 10^{-1}+2\times 10^{-2}$$

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$409+7\times \frac{1}{10}+2\times 10^{-2}$$

Multiply 7 and \frac{1}{10} to get \frac{7}{10}.

$$409+\frac{7}{10}+2\times 10^{-2}$$

Add 409 and \frac{7}{10} to get \frac{4097}{10}.

$$\frac{4097}{10}+2\times 10^{-2}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{4097}{10}+2\times \frac{1}{100}$$

Multiply 2 and \frac{1}{100} to get \frac{1}{50}.

$$\frac{4097}{10}+\frac{1}{50}$$

Add \frac{4097}{10} and \frac{1}{50} to get \frac{10243}{25}.

$$\frac{10243}{25}$$

Factor

$$\frac{10243}{5 ^ {2}} = 409\frac{18}{25} = 409.72$$